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Find the value of the following: tan1/2[...

Find the value of the following: `tan1/2[sin^-1(2x/(1+x^2)) + cos^-1(1-y^2)/(1+y^2)], |x|<1, y>0 ਅਤੇ xy<1`

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PSEB-INVERSE TRIGONOMETRIC FUNCTIONS-Exercise
  1. Find the value of the following: tan^-1[2 cos(2sin^-1(1/2))]

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  2. Find the value of the following: cot (tan^-1 a + cot^-1 a)

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  3. Find the value of the following: tan1/2[sin^-1(2x/(1+x^2)) + cos^-1(1-...

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  4. If sin(sin^–1(1/5) + cos^–1x) =1, then find the value of x.

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  5. If tan^-1 ((x-1)/(x-2))+tan^-1((x+1)/(x+2))=pi/4, then find the value ...

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  6. The value of sin^-1 (sin (2π/3)) is :

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  7. The value of tan^-1 (tan (3π/4)) is :

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  8. Find the value of tan(sin^-1 frac{3}{5} + cot^-1 frac{3}{2}).

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  9. cos^-1 (cos frac{7pi}{6}) is equal to :

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  10. sin (frac {pi}{3} - sin^-1 (-frac{1}{2})) is equal to:

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  11. tan^-1 (sqrt3) -cot^-1 (-sqrt3) is equal to :

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  12. cos^-1 (cos 13 pi/6) is :

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  13. Find the value of the following: tan^-1(tan(7pi/6))

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  14. Prove that : 2sin^-1 (3/5) = tan^-1 (24/7)

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  15. Prove that : sin^-1 (8/17) + sin^-1(3/5) = tan^-1 (77/36)

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  16. Prove that : cos^-1 (4/5) + cos^-1(12/13) = cos^-1 (33/65)

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  17. Show that cos^-1 frac{12}{13} + sin^-1 frac {3}{5}= sin^-1 frac {56}{6...

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  18. Prove that : sin^-1 (5/13) +cos^-1 (3/5) =tan^-1 (63/16)

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  19. tan^-1 frac{1}{5} + tan^-1 frac{1}{7} + tan^-1 frac {1}{3} + tan^-1 fr...

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  20. Prove that tan^(-1)sqrtx = 1/2cos^(-1) ((1-x)/(1+x)), x in [0,1]

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